A new metaheuristic genetic-based placement algorithm for 2D strip packing
محورهای موضوعی : Mathematical OptimizationJaya Thomas 1 , Narendra S. Chaudhari 2
1 - Department of Computer Science and Engineering, Indian Institute of Technology Indore, Indore, India
2 - Department of Computer Science and Engineering, Indian Institute of Technology Indore, Indore, India
کلید واژه: Combinatorial optimization Crossover , Fitness Genetic algorithm Operation research , Placement approach Strip packing,
چکیده مقاله :
Given a container of fixed width, infinite height and a set of rectangular block, the 2D-strip packing problem consists of orthogonally placing all the rectangles such that the height is minimized. The position is subject to confinement of no overlapping of blocks. The problem is a complex NP-hard combinatorial optimization, thus a heuristic based on genetic algorithm is proposed to solve it. In this paper, we give a hybrid approach which combined genetic encoding and evolution scheme with the proposed placement approach. Such a combination resulted in better population evolution and faster solution convergence to optimal. The approach is subjected to a comprehensive test using benchmark instances. The computation results validate the solution and the effectiveness of the approach.
